Nonperturbative aspects of kaon structure
type: CreativeWork
description: In this thesis we have studied the structure of the kaon using the Nambu-Jona-Lasinio (NJL) model with the proper-time regularisation scheme to simulate the effect of quark confinement. The separate contributions of each flavour to the elastic form factor are calculated with and without the effect of dressing at the quark-photon vertex. In comparison with the existing experimental data, our model shows a remarkable agreement. We found the contribution of the anti-strange quark sector form factor of the kaon dominates for Q² ≥ 1.6 GeV², whereas the contribution of the u-quark sector form factor of the kaon is larger for Q² ≤ 1.6 GeV². Clearly the difference in quark masses leads to a dramatic difference between the anti-strange quark and the up quark contribution to the kaon form factors. We observed the structure of the kaon with a particular interest in the effects of the larger mass of the strange quark. At present, a detailed understanding of the pion and kaon structure is hampered by the rather small sample of experimental data. It is known that uᴋ is somewhat at softer that uπ in large-x valence region, which we will show is a natural consequence of the larger mass of the spectator strange quark in the K⁺. While at the present time, one does not know the separate flavour contributions to the kaon elastic form factor and one may hope that it will prove possible to measure them in future. Given the phenomenological importance of the Drell-Yan-West relation (DYWR), it is certainly of considerable theoretical interest to compare the flavour dependence of the large-x PDFs with corresponding large-Q² behaviour of the separate flavour contributions to the elastic form factors. We also investigate the effect of the spectator quark mass on the PDF for a given quark flavor, finding satisfactory agreement with the experimental ratio uᴋ+(x) / uπ+(x) . We conclude with a discussion of the relationship of the large-x behaviour of a PDF and the high-Q² behaviour of the contri…
abstract: In this thesis we have studied the structure of the kaon using the Nambu-Jona-Lasinio (NJL) model with the proper-time regularisation scheme to simulate the effect of quark confinement. The separate contributions of each flavour to the elastic form factor are calculated with and without the effect of dressing at the quark-photon vertex. In comparison with the existing experimental data, our model shows a remarkable agreement. We found the contribution of the anti-strange quark sector form factor of the kaon dominates for Q² ≥ 1.6 GeV², whereas the contribution of the u-quark sector form factor of the kaon is larger for Q² ≤ 1.6 GeV². Clearly the difference in quark masses leads to a dramatic difference between the anti-strange quark and the up quark contribution to the kaon form factors. We observed the structure of the kaon with a particular interest in the effects of the larger mass of the strange quark. At present, a detailed understanding of the pion and kaon structure is hampered by the rather small sample of experimental data. It is known that uᴋ is somewhat at softer that uπ in large-x valence region, which we will show is a natural consequence of the larger mass of the spectator strange quark in the K⁺. While at the present time, one does not know the separate flavour contributions to the kaon elastic form factor and one may hope that it will prove possible to measure them in future. Given the phenomenological importance of the Drell-Yan-West relation (DYWR), it is certainly of considerable theoretical interest to compare the flavour dependence of the large-x PDFs with corresponding large-Q² behaviour of the separate flavour contributions to the elastic form factors. We also investigate the effect of the spectator quark mass on the PDF for a given quark flavor, finding satisfactory agreement with the experimental ratio uᴋ+(x) / uπ+(x) . We conclude with a discussion of the relationship of the large-x behaviour of a PDF and the high-Q² behaviour of the contri…
author: Hutauruk, Parada Tobel Paraduan
keywords: NJL model, kaon PDF, kaon form factor
date published: 2016
date modified: 2026-07-24T00:50:41Z
provider: University of Adelaide
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of Adelaide

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property ID: Handle
value: http://hdl.handle.net/2440/99170